00:01
Okay, so the question wants to know that which one of these axioms is not true for a binomial probability distribution.
00:11
So in order to answer this, we need to know the axioms for a binomial experiment or a binomial probability distribution.
00:20
So there's four axioms.
00:21
And they are that the experiment consists of a sequence of in smaller experiments called trials.
00:29
And that's not incredibly important.
00:34
That's just kind of like a just a very broad axiom that you kind of have to include.
00:39
And then the second one is that each trial can result in one of two possible outcomes, hence by, that's the prefix in the binomial experiment axiom.
00:48
So that by right there indicates two.
00:51
So for a binomial probability distribution, there are one of two possible outcomes.
00:56
And what does that link to up here is each trial has a finite number of possible outcomes.
01:02
So even though it doesn't say two, yes, it has a finite number.
01:08
There is only two possibilities.
01:10
So that one's good.
01:12
And then the number three is that the trials are independent so that the outcome of any one particular trial does not influence the outcome of any other trial.
01:22
And we can think of this as kind of like flipping a coin...